Modeling and Optimal Control of a Class of Warfare Hybrid Dynamic Systems Based on Lanchester ( n , 1 ) Attrition Model

For the particularity of warfare hybrid dynamic process, a class of warfare hybrid dynamic systems is established based on Lanchester equation in a ( n , 1 ) battle, where a heterogeneous force of n different troop types faces a homogeneous force. This model can be characterized by the interaction o...

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Bibliographic Details
Published in:Mathematical problems in engineering Vol. 2014; no. 1
Main Authors: Chen, Xiangyong, Zhang, Ancai
Format: Journal Article
Language:English
Published: New York Hindawi Publishing Corporation 01.01.2014
John Wiley & Sons, Inc
Subjects:
Continuous time systems
Control systems
Decision making
Differential games
Discrete event systems
Dynamic programming
Dynamical systems
Dynamics
Economic models
Engineering
Game theory
Hybrid systems
Mathematical analysis
Mathematical models
Optimal control
Optimization
Strategy
Tactics
Warfare
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary:For the particularity of warfare hybrid dynamic process, a class of warfare hybrid dynamic systems is established based on Lanchester equation in a ( n , 1 ) battle, where a heterogeneous force of n different troop types faces a homogeneous force. This model can be characterized by the interaction of continuous-time models (governed by Lanchester equation), and discrete event systems (described by variable tactics). Furthermore, an expository discussion is presented on an optimal variable tactics control problem for warfare hybrid dynamic system. The optimal control strategies are designed based on dynamic programming and differential game theory. As an example of the consequences of this optimal control problem, we take the (2, 1) case and solve the optimal strategies in a (2, 1) case. Simulation results show the feasibility of warfare hybrid system model and the effectiveness of the optimal control strategies designed.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2014/481347